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Finding the Third Proportional to 68,312 and 101,864

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Solution

The third proportional to 68,312 and 101,864 is: 151,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,312 : 101,864 = 101,864 : x
  2. Step 2: Convert to fraction form
    68,312/101,864 = 101,864/x
  3. Step 3: Cross multiply
    68,312x = 101,864 × 101,864
  4. Step 4: Simplify right side
    68,312x = 10,376,274,496
  5. Step 5: Solve for x
    x = 10,376,274,496/68,312
  6. Step 6: Final answer
    x = 151,895.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.